Generously grease and flour a 9-by-13-by-2-inch baking pan.
In a bowl, combine the flour, baking soda, salt, cinnamon, and nutmeg; whisk or stir to blend thoroughly and set aside.
Beat the eggs; add the vegetable oil, granulated sugar, and vanilla. Stir in shredded carrots and applesauce. Add the stirred dry ingredients, raisins, and 1/2 cup of chopped pecans.
Spoon the batter into the prepared baking pan.
Sprinkle the remaining chopped nuts over the top and bake for 50 to 60 minutes, or until a toothpick inserted into the center of the cake comes out clean.
A toothpick inserted in center should come out clean.
Frost with cream cheese frosting or glaze as desired.